Abstract: By using the accurate estimates of the  Hormander class, we proved the boundedness of the commutators generated by the bilinear pseudodifferential operators and Lipschitz functions and BMO functions on the generalized Morrey spaces, and then obtained the boundedness of the commutators of the bilinear pseudodifferential operators on the classical Morrey spaces.

Key words: Morrey space, bilinear pseudodifferential operator, Lipschitz function, commutator, BMO function